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If the circumference of a circle is equa...

If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

Text Solution

Verified by Experts

First, Equate perimeter of a square and circle.

Assume `r` be the radius of a circle

and be the side of a square.

Given: Perimeter of a square = Circumference of a circle

`Rightarrow 4 a=2 pi r`

`Rightarrow frac{a}{r}=frac{pi}{2} ………….(1)`

Now, Calculate the ratio of area of square and circle.

Area of circle : Area of square

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